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Number Theory 1 Fermat's Dream

ISBN-10: 082180863X
ISBN-13: 9780821808634
Edition: 2000
List price: $34.00
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Description: This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number  More...

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Book details

List price: $34.00
Copyright year: 2000
Publisher: American Mathematical Society
Publication date: 11/22/1999
Binding: Paperback
Pages: 154
Size: 5.50" wide x 8.75" long x 0.50" tall
Weight: 0.440

This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Introduction
Rational points on elliptic curves
Conics and $p$-adic numbers $\zeta$
Algebraic number theory
Rudiments on Dedekind domains
Answers to questions
Answers to exercises
Index

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